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Capital maintenance and investment: complements or substitutes?

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  • BOUCEKKINE, Raouf
  • RUIZ-TAMARIT, Ramon

Abstract

This paper is concerned with the theoretical properties of demand for capital maintenance services. To this end, we consider two investment problems incorporating maintenance services and we analyse their steady state equilibria. At first, we shwo that if no variable capital utilization rate is allowed, investment and maintenance expenditures have the same qualitative properties, and so cannot be regarded as gross substitutes. If a variable rate of capital utilization is allowed, the occurence of substitution Vs complementarity features and the comparative statics properties depend on the sensitivity of the postulated capital depreciation function with respect to both the rate of capital utilization and the maintenance expenditures ratio. We prove that the case where the elasticity with respect to maintenance expenditures is lower, gives much better shaped demand functions and fits definitely better the recent real business cycles studies.
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  • BOUCEKKINE, Raouf & RUIZ-TAMARIT, Ramon, 2003. "Capital maintenance and investment: complements or substitutes?," LIDAM Reprints CORE 1630, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1630
    DOI: 10.1007/s00712-002-0554-9
    Note: In : Journal of Economics, 78(1), 1-28, 2003
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    Cited by:

    1. Escribá-Pérez, F.J. & Murgui-García, M.J. & Ruiz-Tamarit, J.R., 2018. "Economic and statistical measurement of physical capital: From theory to practice," Economic Modelling, Elsevier, vol. 75(C), pages 246-255.
    2. Martial Dupaigne, 2007. "Les variations choisies de l'utilisation du capital : une revue des implications macroéconomiques," Revue d'économie politique, Dalloz, vol. 117(2), pages 161-196.
    3. George Bitros & Elias Flytzanis, 2004. "Utilization and Maintenance in a Model with Terminal Scrapping," Macroeconomics 0411016, University Library of Munich, Germany.
    4. Eleni Angelopoulou & Sarantis Kalyvitis, 2012. "Estimating the Euler Equation for Aggregate Investment with Endogenous Capital Depreciation," Southern Economic Journal, John Wiley & Sons, vol. 78(3), pages 1057-1078, January.
    5. Albonico, Alice & Kalyvitis, Sarantis & Pappa, Evi, 2014. "Capital maintenance and depreciation over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 273-286.
    6. Raouf, BOUCEKKINE & Blanca, MARTINEZ & Cagri, SAGLAM, 2006. "Capital Maintenance Vs Technology Adopton under Embodied Technical Progress," Discussion Papers (ECON - Département des Sciences Economiques) 2006030, Université catholique de Louvain, Département des Sciences Economiques.
    7. Raouf Boucekkine & Fernando del Río & Blanca Martínez, 2009. "Technological progress, obsolescence, and depreciation," Oxford Economic Papers, Oxford University Press, vol. 61(3), pages 440-466, July.
    8. J. Aznar-Márquez & J. R. Ruiz-Tamarit, "undated". "Endogenous Growth, Capital Utilization and Depreciation," Working Papers 2004-21, FEDEA.
    9. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2420-2439, December.
    10. F. J. Escribá‐Pérez & M. J. Murgui‐García & J. R. Ruiz‐Tamarit, 2023. "Endogenous capital stock and depreciation in the United States," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 139-167, February.
    11. F. J. Escribá-Pérez & M. J. Murgui-García & J. R. Ruiz-Tamarit, 2019. "Capital Stock and Depreciation: Theory and an Empirical Application," LIDAM Discussion Papers IRES 2019004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    12. Jakub Boratyński & Jacek Osiewalski, 2021. "Bayesian Estimation of Capital Stock and Depreciation in the Production Function Framework," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 13(4), pages 455-486, December.
    13. Belousova, Irina, 2017. "The role of endogenous capital depreciation rate in Dynamic Stochastic General Equilibrium models: Evidence from Canada," MPRA Paper 102036, University Library of Munich, Germany.
    14. Deli, Yota D., 2016. "Endogenous capital depreciation and technology shocks," Journal of International Money and Finance, Elsevier, vol. 69(C), pages 318-338.
    15. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    16. F. J. Escribá-Pérez & M. J. Murgui-García & J. R. Ruiz-Tamarit, 2017. "Economic and Statistical Measurement of Physical Capital with an Application to the Spanish Economy," LIDAM Discussion Papers IRES 2017020, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    17. Blanca MARTINEZ, 2002. "Technological convergence and the connections between adoption, maintenance and investment activities," LIDAM Discussion Papers IRES 2002025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    18. Raouf Boucekkine & Blanca Martinez & Cagri Saglam, 2010. "Capital Maintenance As A Key Development Tool," Scottish Journal of Political Economy, Scottish Economic Society, vol. 57(5), pages 547-567, November.
    19. Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2008. "Public capital maintenance and congestion: Long-run growth and fiscal policies," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3760-3779, December.
    20. Raouf Boucekkine & Blanca Martínez & Fernando del Río, 2005. "Technological Progress And Depreciation," Working Papers. Serie AD 2005-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    21. Cagri Saglam & Vladimir M. Veliov, 2008. "Role of Endogenous Vintage Specific Depreciation in the Optimal Behavior of Firms," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 381-410, September.
    22. Bitros, George C. & Flytzanis, Elias, 2009. "Utilization and maintenance in a model with scrapping," European Journal of Operational Research, Elsevier, vol. 194(2), pages 551-573, April.
    23. Alice Albonico & Sarantis Kalyvitis & Evi Pappa, 2011. "Real Business Cycles with Capital Maintenance," Quaderni di Dipartimento 147, University of Pavia, Department of Economics and Quantitative Methods.

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    More about this item

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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